Zobrazeno 1 - 10
of 82
pro vyhledávání: '"THOMAS STREICHER"'
Publikováno v:
Logical Methods in Computer Science, Vol Volume 14, Issue 2 (2018)
The basic notions of quantum mechanics are formulated in terms of separable infinite dimensional Hilbert space $\mathcal{H}$. In terms of the Hilbert lattice $\mathcal{L}$ of closed linear subspaces of $\mathcal{H}$ the notions of state and observabl
Externí odkaz:
https://doaj.org/article/802ab1e2dbd8401191614db5eaff4977
Autor:
Thomas Streicher
Publikováno v:
Logical Methods in Computer Science, Vol Volume 13, Issue 4 (2017)
We study a classical realizability model (in the sense of J.-L. Krivine) arising from a model of untyped lambda calculus in coherence spaces. We show that this model validates countable choice using bar recursion and bar induction.
Externí odkaz:
https://doaj.org/article/f1e9599fc65f4151a5bfb81f06844519
Autor:
Thomas Streicher
Publikováno v:
Mathematical Structures in Computer Science. 31:1003-1005
I recall how Martin Hofmann and I found the groupoid model of type theory in the early 1990s.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d9e5e95fdfbed0e95b74fbcd25d1c13e
https://doi.org/10.1017/s0960129520000286
https://doi.org/10.1017/s0960129520000286
Publikováno v:
Logical Methods in Computer Science, Vol Volume 10, Issue 3 (2014)
In this paper we revise and simplify the notion of observationally induced algebra introduced by Simpson and Schroeder for the purpose of modelling computational effects in the particular case where the ambient category is given by classical domain t
Externí odkaz:
https://doaj.org/article/2a31328a9ed240159def62782497ebcb
Autor:
Jonas Frey, Thomas Streicher
We discuss how triposes may be understood as generalizations of localic geometric morphisms.
Comment: We have added a remark on the correct notion of morphism between regular triposes and why they are closed under composition
Comment: We have added a remark on the correct notion of morphism between regular triposes and why they are closed under composition
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf8ca38eb788d851e049774729f8fd5e
Publikováno v:
Archive for Mathematical Logic. 57:873-888
Consistency with the formal Church’s thesis, for short CT, and the axiom of choice, for short AC, was one of the requirements asked to be satisfied by the intensional level of a two-level foundation for constructive mathematics as proposed by Maiet
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6845c9aacd1ecd832eaa668fc0d586ef
https://doi.org/10.1007/s00153-018-0612-9
https://doi.org/10.1007/s00153-018-0612-9
Publikováno v:
Annals of Pure and Applied Logic. 167:794-805
A construction by Hofmann and Streicher gives an interpretation of a type-theoretic universe U in any Grothendieck topos, assuming a Grothendieck universe in set theory. Voevodsky asked what space U is interpreted as in Johnstone's topological topos.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7cdf85f5fc86bebc81c456de1a4eaf29
https://doi.org/10.1016/j.apal.2016.04.010
https://doi.org/10.1016/j.apal.2016.04.010
Autor:
Thomas Streicher
Publikováno v:
Journal of Applied Logic. 12:45-49
We describe how to interpret constructive type theory in the topos of simplicial sets where types appear as Kan complexes and families of types as Kan fibrations. Since Kan complexes may be understood as weak higher-dimensional groupoids this model g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f07b8efbd267f9b121a869f280bc811
https://doi.org/10.1016/j.jal.2013.04.001
https://doi.org/10.1016/j.jal.2013.04.001
Autor:
Thomas Streicher
Publikováno v:
Mathematical Structures in Computer Science. 23:1234-1256
In a sequence of papers (Krivine 2001; Krivine 2003; Krivine 2009), J.-L. Krivine introduced his notion of classical realisability for classical second-order logic and Zermelo–Fraenkel set theory. Moreover, in more recent work (Krivine 2008), he ha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c64a14b8e81a0f41a390d888a178c92f
https://doi.org/10.1017/s0960129512000989
https://doi.org/10.1017/s0960129512000989
Autor:
Peter Lietz, Thomas Streicher
Publikováno v:
Annals of Pure and Applied Logic. 163:1803-1807
Ishiharaʼs boundedness principle BD - N was introduced in Ishihara (1992) [5] and has turned out to be most useful for constructive analysis, see e.g. Ishihara (2001) [6] . It is equivalent to the statement that every sequentially continuous functio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0cfbbd7184be0edc1a65c0b5015674b3
https://doi.org/10.1016/j.apal.2012.04.004
https://doi.org/10.1016/j.apal.2012.04.004